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Finding the Fourth Proportional to 504,146.68, 695,696.17 and 313,156.24

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Solution

The fourth proportional to 504,146.68, 695,696.17 and 313,156.24 is: 432,139.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,146.68 : 695,696.17 = 313,156.24 : x
  2. Step 2: Convert to fraction form
    504,146.68/695,696.17 = 313,156.24/x
  3. Step 3: Cross multiply
    504,146.68x = 695,696.17 × 313,156.24
  4. Step 4: Simplify right side
    504,146.68x = 217,861,596,779.60
  5. Step 5: Solve for x
    x = 217,861,596,779.60/504,146.68
  6. Step 6: Final answer
    x = 432,139.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.